![]() ![]() Simply find the z score you want and look for the corresponding value in the table.įor example in the table below for the z score of 1.65, the corresponding percentile is 0.95 or 95%. Let’s imagine that you got a z score of 1.09. Notice that these values to the left of a given z score on a standard normal distribution. The way it is usually done is by referring to the comprehensive left-hand z-score table as in the below image. One of the things that you need to know about the z score table is that this table shows the percentage of values using, in most cases, a decimal figure). Now that we have understood what the terms mean let us try to see how we can calculate the percentile given the z score. Hence given the z score of zero, the percentile is 50% because half of the area under the curve lies behind zero. The standard normal distribution is symmetric about zero and the total area under the curve is 1. In the standard normal distribution, the value taken by the variable is called the z score and the area under the graph of the distribution before that value is called the percentile.įor example, for the z score of 1.65, the percentile is 95% because the area under the curve behind that z value is 0.95 as shown in the image below. ![]() Before we understand how to convert the z score to percentile we should understand what the terms z score and percentile mean. ![]()
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